100892880 has 120 divisors (see below), whose sum is σ = 369663840. Its totient is φ = 24456960.

The previous prime is 100892863. The next prime is 100892887. The reversal of 100892880 is 88298001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100892887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 2^100892880 is an apocalyptic number.

100892880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184831920).

100892880 is an abundant number, since it is smaller than the sum of its proper divisors (268770960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100892880 is a wasteful number, since it uses less digits than its factorization.

100892880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 100892880 is about 10044.5447880927. The cubic root of 100892880 is about 465.5362526534.

The spelling of 100892880 in words is "one hundred million, eight hundred ninety-two thousand, eight hundred eighty".